In this article, we use Exel’s construction to associate a C∗-algebra to every shift space. We show that it has the C∗-algebra defined in [13] as a quotient, and possesses properties indicating that… (More)

By using C∗-correspondences and Cuntz-Pimsner algebras, we associate to every subshift (also called a shift space) X a C∗-algebra OX, which is a generalization of the Cuntz-Krieger algebras. We show… (More)

By using C∗-correspondences and Cuntz-Pimsner algebras, we associate to every subshift X a C∗-algebra OX, which is a generalization of the Cuntz-Krieger algebra. We show that OX is the universal… (More)

In [24] Matsumoto associated to each shift space (also called a subshift) an Abelian group which is now known as Matsumoto’s K0-group. It is defined as the cokernel of a certain map and resembles the… (More)

A canonical cover generalizing the left Fischer cover to arbitrary sofic shifts is introduced and used to prove that the left Krieger cover and the past set cover of a sofic shift can be divided into… (More)

Kazhdan and Wenzl classi ed all tensor categories which have a fusion ring isomorphic to the fusion ring of the group SU(d). In this talk we will consider the C∗-analogue of this problem. Given a… (More)